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m^3-3m^2+2m is divisible by both 79 and 83

Source: Canadian Repêchage 2010: Problem 4

May 6, 2014
number theoryprime numbersnumber theory proposed

Problem Statement

Determine the smallest positive integer mm with the property that m3−3m2+2mm^3-3m^2+2m is divisible by both 7979 and 8383.
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